114509566080 has 1536 divisors, whose sum is σ = 518069260800. Its totient is φ = 23688806400.

The previous prime is 114509566057. The next prime is 114509566091. The reversal of 114509566080 is 80665905411.

114509566080 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 9 + 566 + 0 + 80 = 666.

It is a super-2 number, since 2×114509566080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1111743309 + ... + 1111743411.

It is an arithmetic number, because the mean of its divisors is an integer number (337284675).

Almost surely, 2^114509566080 is an apocalyptic number.

114509566080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114509566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259034630400).

114509566080 is an abundant number, since it is smaller than the sum of its proper divisors (403559694720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114509566080 is a wasteful number, since it uses less digits than its factorization.

114509566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 114509566080 in words is "one hundred fourteen billion, five hundred nine million, five hundred sixty-six thousand, eighty".